Question

Which of the following has no absolute extrema? (select all that apply)

a: y = -19tan(x)

b: y = -19x^2

c: y = 19

d: y = -19cos(x)

I am pretty confused on local/absolute max/min and the extrema it would be great if you could be able to explain a bit about it too. I can't figure out this practice question. Thanks for your help.

Answer 1

(va) y = -19 tanx y = - 19 seen yl=0 = 19 sec zo Сесто Secano secaro can't find a It means no critical point Hence no absolute extremo y = -19 m2 yls - 38x yl zo = -38 x=0 Cox =0 is ritical point Atx=0 y=o] Both absolute miuma and maxima Lence atnzo absolute externa exist y=19 le no critical point, Hence no absolute extrema y = -19 losx yl zo 7 19 senx=0 I sina = Sino, sin II , Sinatt, 1-01TT, 217, 31T, -- Hence y = -19,199 - Hence at a = 2011 no y = 19, at x = 2n1Tt1.y=19 ne I

Hence at x = ant absolute minima na 2017 +1 absolute maxima Hence y = -19 losa has absolute extrema Therefore (a) y = -197 an() 10) y=19 have no absolute extrema